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Compute the output response of the system

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Reference no: EM13719118

An LTI discrete-time system has the unit-impulse response.

h[n]=(-1)nu[n]

Consider the following input to the system.

x[n]=u[n]-u[n-3]

with zero initial conditions.

a) Find X[k], the 10 point DFT of x[n].

b) Find H[k], the 10 point DFT of h[n].

c) Compute the output response of the system y[n], 0 ≤ n ≤ 4, using the convolution sum.

d) Compute the output response of the system y[n], 0 ≤ n ≤ 4, using the DFT and IDFT.

Reference no: EM13719118

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